1PHYS 1110 Final ReportPlaying on a swingTable of contents Background2Executive summary2Experimental set up2Procedure of experiment3Risk assessment4Results and analysis4Details and calculations5Conclusion7References8

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2BackgroundSwings can be found in most parks. People playing on the swing just needs torub the ground and make swing moving. As i watch the swing moving backand forth, i notice that the swing seems like it takes same time for a swing tofinish a swing with different people such as child and the aged sitting on it. Somass of people has no relation with the time of finishing a swing? Whatelement can change the period of a moving swing? To solve these questions, idid investigation about this topic and i found out that in 1602, Galileoconducted the first pendulums experiment to know whether the period ofpendulums are constant1. In Galileo’s experiment, it has been proved thatpendulum with large angle has identical period to the pendulum with smallangle, which means angle of pendulum is not a determination of period.Further investigation on the law of inertia explain why swing and pendulumcan move in a constant period. Obviously, only three related elements canhave affect on the period of swing, which are mass of the swing, length of theswing and the acceleration of gravity. But which element actually hasinfluence on period? Later, after the compound pendulum period formula wasestablished, it can be concluded that the period can only determined by twoelement, including length of pendulum and the acceleration due to gravity2.Therefore, to prove that mass, in contrast with the length of swing, has norelation with period of swing, i reconstruct the pendulum experiment.Executive summarySince swing and pendulum works in same way, this experiment is operated byimitating the periodical swing of pendulum. This experiment aims toinvestigate on whether mass and length of the swing are determination of theperiod of swing and calculate the acceleration of gravity of Sydney withrecorded data. In this experiment, all the experimental set up are constructedwith normal object but not advanced experimental equipment, therefore,uncertainty is necessary for some specific calculation.

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